Pith Number

pith:D7KSEUZK

pith:2009:D7KSEUZKHVFWJCVR2U2PJ2AFHC

not attested not anchored not stored refs pending

The Generalized Road Coloring Problem and periodic digraphs

Greg Budzban, Philip Feinsilver

arxiv:0903.0192 v1 · 2009-03-02 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D7KSEUZKHVFWJCVR2U2PJ2AFHC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:29:43.813623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd522532a3d4b648ab1d534f4e80538b9980fad199b97d977c4bc755c2ced81

Aliases

arxiv: 0903.0192 · arxiv_version: 0903.0192v1 · doi: 10.48550/arxiv.0903.0192 · pith_short_12: D7KSEUZKHVFW · pith_short_16: D7KSEUZKHVFWJCVR · pith_short_8: D7KSEUZK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/D7KSEUZKHVFWJCVR2U2PJ2AFHC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1fd522532a3d4b648ab1d534f4e80538b9980fad199b97d977c4bc755c2ced81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e99684d55267a3ba97fd2a0c04ba37aa251ed4eb0bc809c317c47d055511126",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-03-02T00:12:31Z",
    "title_canon_sha256": "01592d28ca1c11fa9f94f1d0dc91804bfb4065ea389edf28300a7e804299697e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0192",
    "kind": "arxiv",
    "version": 1
  }
}